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- Title
Normal Mode Spectra of Hierarchical Ensembles of Interconnected Oscillators.
- Authors
Safina, O. S.; Voronov, A. V.; Safin, A. R.; Bulatov, M. F.; Churikov, D. V.; Surovyatkina, E. D.
- Abstract
A family of normal mode spectra of hierarchically organized ensembles of identical interconnected oscillators with different topology of the organization is constructed. It is shown that treelike ensembles possess a devil's-staircase-type fractal spectrum of normal modes; the number of degenerate modes increases with an increase in the number of tree branches and with introduction of additional connections between elements of the ensemble. The effect of ensemble topologies and bond strengths between elements of the ensemble on spectral characteristics is analyzed.
- Subjects
TREE branches; BOND strengths; NONLINEAR oscillations
- Publication
Technical Physics Letters, 2019, Vol 45, Issue 9, p874
- ISSN
1063-7850
- Publication type
Article
- DOI
10.1134/S1063785019090104